Analyzing Forces & Electrons: Free Body Diagram

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SUMMARY

This discussion focuses on analyzing the forces acting on two small insulating objects with masses of 0.0076 kg each, suspended from strings and charged through friction. The objects, initially separated by 1.0 m, come to equilibrium at a distance of 0.72 m after being released. Key equations used include Coulomb's law, F=(K*q1*q2)/r², and the tension components in the strings, T*cos(θ)=mg and T*sin(θ)=F. The goal is to determine the number of electrons transferred between the objects using fundamental constants such as Coulomb's constant (k), gravitational acceleration (g), and the elementary charge (e).

PREREQUISITES
  • Understanding of free body diagrams and force analysis
  • Knowledge of Coulomb's law and electrostatic forces
  • Familiarity with basic physics concepts such as tension and equilibrium
  • Ability to perform calculations involving gravitational force and charge
NEXT STEPS
  • Study the application of Coulomb's law in electrostatics
  • Learn how to construct and analyze free body diagrams
  • Explore the relationship between charge transfer and the number of electrons
  • Investigate the effects of different materials on charge transfer efficiency
USEFUL FOR

Students studying physics, particularly those focusing on electrostatics and force analysis, as well as educators seeking to enhance their understanding of free body diagrams and charge interactions.

VividAce
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Hi i am posting this to double check my work. Please help and feel free to ask any questions. I posted a picture of my work and what i currently have.

1. Homework Statement

Two small insulating objects are hung from strings attached to the ceiling. The masses of each object is 0.0076 kg. The strings are .50 m long and the points where they attach to the ceiling are separated by 1.0 m. The objects are made of different materials. They are rubbed against each other allowing charge to transfer between them. Then, with the objects held so the strings are vertical they release.They pull together and come to equilibrium separated by .72 m.
Analyze the situation using a free body diagram. Use the relation established from your analysis to determine the number of electrons that were transferred from one objects to the other when they were rubbed together. Note, to obtain the numerical result requires the values of coulombs constant, k, the acceleration of gravity,g, and the electron charge, e.

Homework Equations


F=(K*q1*q2)/r2
T=Tension in string
T*cos=mg
T*sin(thetha)=F(Force of attraction)
f=mg*tan

The Attempt at a Solution


See image below[/B]
 

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Hi Ace, ##\qquad## :welcome: ##\qquad## !

I need a lot of enlargement, but then I see ##F = mg \tan\theta = ## followed by ##m## and by ##g## only ... :rolleyes:
 
Hi, thanks for taking time and viewing thread. Your are right, i must have forgot about it thanks.
 

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